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Finding the Fourth Proportional to 38,078.57, 52,548.42 and 21,311.57

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Solution

The fourth proportional to 38,078.57, 52,548.42 and 21,311.57 is: 29,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078.57 : 52,548.42 = 21,311.57 : x
  2. Step 2: Convert to fraction form
    38,078.57/52,548.42 = 21,311.57/x
  3. Step 3: Cross multiply
    38,078.57x = 52,548.42 × 21,311.57
  4. Step 4: Simplify right side
    38,078.57x = 1,119,889,331.22
  5. Step 5: Solve for x
    x = 1,119,889,331.22/38,078.57
  6. Step 6: Final answer
    x = 29,409.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.